Free Schrodinger equation
= Free Schrodinger equation
{title2=$iq_t+q_{xx}=0$}
The free Schrodinger equation describes linear dispersive evolution without a potential term. In this normalization a spectral mode is $e^{ikx-ik^2t}$. On a half-line, boundary data enter through the <global relation for the half-line free Schrodinger equation>.